Liberal or conservative? Perhaps we need a new title!

This thread is inspired by a YouTuber I'm subscribed to Cody Webber. Cody uploaded a video pretty much stating that he felt he doesn't fit into the category of liberal or conservative. So my question is, do we need a new title for persons who feel they don't fit into either category?

What do we call a person who cares about freedoms and universal equality, but at the same time does not bat an eyelid at objectionable speech in which may seem offensive to some "pc liberals"

What do you call a person who instead of telling others "do not say that that's offensive", will alternatively say "I disagree with you / you are wrong and here is why. Do you still hold your view? Why?"

Combining all of what I suggest here, politically (and socially) speaking what category would such persons fit into? I'm not so sure liberal or conservative is accurate at all.

I'm one of the people who doesn't fit into liberal or conservative. For the most part I am a democratic liberal. I support gay rights, women's rights, etc. But I'm super conservative on immigration issues.